Details

Time bar (total: 1.3s)

analyze3.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%100%0%0
0%100%0%1
0%100%0%2
50%50%0%3
75%25%0%4
87.5%12.5%0%5
93.7%6.2%0%6
96.8%3.1%0%7
98.4%1.6%0%8
99.2%0.8%0%9
99.6%0.4%0%10
99.8%0.2%0%11
99.9%0.1%0%12
99.9%0%0%13
99.9%0%0.1%14

sample9.0ms

Algorithm
intervals
Results
5.0ms256×body128valid

simplify8.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0139
1139

prune3.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

1 alts after pruning (1 fresh and 0 done)

PrunedKeptTotal
New011
Fresh101
Picked000
Done000
Total112

Merged error: 31.0b

Counts
2 → 1

localize4.0ms

Local error

Found 1 expressions with local error:

29.9b
(sqrt.f64 (*.f64 x (+.f64 x x)))

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
4×pow1_binary64
2×associate-*r/_binary64 sqrt-pow1_binary64 sqrt-div_binary64
1×pow-prod-down_binary64 flip3-+_binary64 *-un-lft-identity_binary64 add-log-exp_binary64 pow1/2_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 add-sqr-sqrt_binary64 sqrt-prod_binary64 flip-+_binary64
Counts
1 → 13
Calls
1 calls:
5.0ms
(sqrt.f64 (*.f64 x (+.f64 x x)))

series51.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(sqrt.f64 (*.f64 x (+.f64 x x)))

simplify68.0ms

Algorithm
egg-herbie
Counts
16 → 16
Iterations

Useful iterations: 0 (61.0ms)

IterNodesCost
05010140

prune17.0ms

Filtered
13 candidates to 16 candidates (-23.1%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New13316
Fresh000
Picked011
Done000
Total13417

Merged error: 0.2b

Counts
17 → 4

localize3.0ms

Local error

Found 1 expressions with local error:

0.4b
(*.f64 x (sqrt.f64 2))

rewrite7.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt_binary64
6×associate-*r*_binary64
4×*-un-lft-identity_binary64 add-cube-cbrt_binary64 sqrt-prod_binary64
3×pow1_binary64 add-exp-log_binary64 add-cbrt-cube_binary64 associate-*l*_binary64
2×unswap-sqr_binary64
1×pow-prod-down_binary64 add-log-exp_binary64 cbrt-unprod_binary64 prod-exp_binary64 *-commutative_binary64
Counts
1 → 22
Calls
1 calls:
6.0ms
(*.f64 x (sqrt.f64 2))

series50.0ms

Counts
1 → 3
Calls
1 calls:
50.0ms
(*.f64 x (sqrt.f64 2))

simplify43.0ms

Algorithm
egg-herbie
Counts
25 → 25
Iterations

Useful iterations: 0 (36.0ms)

IterNodesCost
05009211

prune19.0ms

Filtered
14 candidates to 25 candidates (-78.6%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New22325
Fresh022
Picked101
Done011
Total23629

Merged error: 0.1b

Counts
29 → 6

localize6.0ms

Local error

Found 2 expressions with local error:

0.1b
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
0.3b
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
16×pow1_binary64 add-exp-log_binary64
10×associate-*r*_binary64
9×pow-prod-down_binary64 cbrt-unprod_binary64 add-cbrt-cube_binary64 prod-exp_binary64
7×add-sqr-sqrt_binary64
6×*-un-lft-identity_binary64 add-cube-cbrt_binary64 cbrt-prod_binary64
4×associate-*l*_binary64
3×sqrt-prod_binary64
2×add-log-exp_binary64 *-commutative_binary64
1×unswap-sqr_binary64
Counts
2 → 46
Calls
2 calls:
10.0ms
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
14.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

series330.0ms

Counts
2 → 6
Calls
2 calls:
274.0ms
(*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2))))
56.0ms
(*.f64 (*.f64 x (*.f64 (cbrt.f64 (sqrt.f64 2)) (cbrt.f64 (sqrt.f64 2)))) (cbrt.f64 (sqrt.f64 2)))

simplify70.0ms

Algorithm
egg-herbie
Counts
52 → 52
Iterations

Useful iterations: 0 (57.0ms)

IterNodesCost
04955577
14955577

prune34.0ms

Filtered
32 candidates to 52 candidates (-62.5%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New52052
Fresh044
Picked011
Done011
Total52658

Merged error: 0.1b

Counts
58 → 6

localize5.0ms

Local error

Found 2 expressions with local error:

0.2b
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
0.3b
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
21×sqrt-prod_binary64
18×associate-*r*_binary64
15×add-sqr-sqrt_binary64
9×*-un-lft-identity_binary64 pow1_binary64 add-cube-cbrt_binary64 add-exp-log_binary64 add-cbrt-cube_binary64
4×pow-prod-down_binary64 cbrt-unprod_binary64 associate-*l*_binary64 prod-exp_binary64
3×unswap-sqr_binary64
2×add-log-exp_binary64 *-commutative_binary64
Counts
2 → 50
Calls
2 calls:
7.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
11.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

series137.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(*.f64 x (sqrt.f64 (sqrt.f64 2)))
57.0ms
(*.f64 (*.f64 x (sqrt.f64 (sqrt.f64 2))) (sqrt.f64 (sqrt.f64 2)))

simplify76.0ms

Algorithm
egg-herbie
Counts
56 → 56
Iterations

Useful iterations: 0 (65.0ms)

IterNodesCost
05285559

prune27.0ms

Filtered
29 candidates to 56 candidates (-93.1%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New56056
Fresh033
Picked011
Done022
Total56662

Merged error: 0.1b

Counts
62 → 6

regimes18.0ms

Accuracy

99.2% (0.3b remaining)

Error of 0.4b against oracle of 0.1b and baseline of 31.3b

bsearch9.0ms

Steps
ItersRangePoint
6
-6.617992921221974e-308
1.873797651594991e-308
-3.6043309604501e-310

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03925
13925

end0.0ms

sample259.0ms

Algorithm
intervals
Results
167.0ms8000×body128valid

Profiling

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